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Finding the Fourth Proportional to 591.90, 815.25 and 434.13

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Solution

The fourth proportional to 591.90, 815.25 and 434.13 is: 597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.90 : 815.25 = 434.13 : x
  2. Step 2: Convert to fraction form
    591.90/815.25 = 434.13/x
  3. Step 3: Cross multiply
    591.90x = 815.25 × 434.13
  4. Step 4: Simplify right side
    591.90x = 353,924.48
  5. Step 5: Solve for x
    x = 353,924.48/591.90
  6. Step 6: Final answer
    x = 597.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.